What is the 6358th prime number?
The 6358th prime number is 63439. The next prime is 63443 (a gap of 4) and the one before is 63421.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 6358th one is 63439.
- 2
63439 is prime because no prime up to ā63439 ā 251.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6358th prime is close to 6358 Ć ln(6358) ā 55680, and here it is 63439.
- 4
63439 has no twin: neither 63437 nor 63441 is prime.
Primes around the 6358th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6355 | 63409 | 12 |
| 6356 | 63419 | 10 |
| 6357 | 63421 | 2 |
| 6358 | 63439 | 18 |
| 6359 | 63443 | 4 |
| 6360 | 63463 | 20 |
| 6361 | 63467 | 4 |
Questions
What is the 6358th prime number?
63439.
Which prime number is 63439?
63439 is the 6358th prime number.
What is the sum of the first 6358 primes?
190,427,825.